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Stationary Time Series Models with Exponential Dispersion Model Margins
Journal of Applied Probability, 1998We consider a class of stationary infinite-order moving average processes with margins in the class of infinitely divisible exponential dispersion models. The processes are constructed by means of the thinning operation of Joe (1996), generalizing the binomial thinning used by McKenzie (1986, 1988) and Al-Osh and Alzaid (1987) for integer-valued time ...
Jørgensen, Bent, Song, Peter Xue-Kun
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Generalized exponential‐dispersion process model for degradation analysis under nonlinear condition
Quality and Reliability Engineering International, 2021AbstractThe regular exponential‐dispersion (ED) process with a nonlinear path can be used to model degradation processes of many products, while it has the shortage that the degradation increment is only age‐dependent, which limits its application in some circumstances. To overcome this shortage, two extensions of the ED process are suggested. For many
Fengjun Duan, Guanjun Wang
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On Infinitely Divisible Exponential Dispersion Model Related to Poisson-Exponential Distribution
Communications in Statistics - Theory and Methods, 2007We construct a univariate exponential dispersion model comprised of discrete infinitely divisible distributions. This model emerges in the theory of branching processes. We obtain a representation for the Levy measure of relevant distributions and characterize their laws as Poisson mixtures and/or compound Poisson distributions.
V. Vinogradov
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Poisson Limit Laws for Exponential Dispersion Models
Communications in Statistics - Theory and Methods, 2012Let ED = {P λ(m), m ∈ M, λ ∈ Λ} be an exponential dispersion model on ℝ d with bounded support parameterized by its domain of the means M and let Λ be its Jorgensen set. In this article, we investigate the asymptotic behavior of P λ(m), when λ tends to + ∞.
Ben Salah Nahla, Masmoudi Afif
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Journal of Statistical Computation and Simulation, 2022
In some manufacturing processes, the quality of a product can be characterized by the functional relationship between the response variable and the explanatory variables.
Chung-I Li, Meng-Rong Tsai
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In some manufacturing processes, the quality of a product can be characterized by the functional relationship between the response variable and the explanatory variables.
Chung-I Li, Meng-Rong Tsai
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MULTIVARIATE EXPONENTIAL DISPERSION MODELS
2013Jørgensen, Bent, Martínez, José Raúl
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Bayesian analysis for the transformed exponential dispersion process with random effects
Reliability Engineering & System Safety, 2022The basic exponential-dispersion (ED) process can be used to describe many degradation phenomena, but its degradation increments are only age-dependent, which limits its application especially for the phenomena with state-dependent degradation increments.
Fengjun Duan, G. Wang
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Quality and Reliability Engineering International, 2022
Exponential‐dispersion (ED) process has been recently introduced and demonstrated as a promising degradation model, which can include classical Wiener, gamma, and inverse Gaussian (IG) processes as special cases.
Yi Ding, Rong Zhu, W. Peng, M. Xie
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Exponential‐dispersion (ED) process has been recently introduced and demonstrated as a promising degradation model, which can include classical Wiener, gamma, and inverse Gaussian (IG) processes as special cases.
Yi Ding, Rong Zhu, W. Peng, M. Xie
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Reliability Engineering & System Safety, 2020
In this paper, degradation-based burn-in for highly-reliable products subject to degradation is studied. Since the common degradation models for burn-in are usually established on the basis of a specific stochastic process, such as Wiener process and ...
Zhen Chen +3 more
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In this paper, degradation-based burn-in for highly-reliable products subject to degradation is studied. Since the common degradation models for burn-in are usually established on the basis of a specific stochastic process, such as Wiener process and ...
Zhen Chen +3 more
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IEEE Transactions on Reliability, 2021
The degradation data of highly reliable products are usually analyzed by stochastic process models, such as Wiener process, gamma process and inverse Gaussian process models.
Zhen Chen +3 more
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The degradation data of highly reliable products are usually analyzed by stochastic process models, such as Wiener process, gamma process and inverse Gaussian process models.
Zhen Chen +3 more
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